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Finding the Third Proportional to 9,163,146 and 19,742,490

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Solution

The third proportional to 9,163,146 and 19,742,490 is: 42,536,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163,146 : 19,742,490 = 19,742,490 : x
  2. Step 2: Convert to fraction form
    9,163,146/19,742,490 = 19,742,490/x
  3. Step 3: Cross multiply
    9,163,146x = 19,742,490 × 19,742,490
  4. Step 4: Simplify right side
    9,163,146x = 389,765,911,400,100
  5. Step 5: Solve for x
    x = 389,765,911,400,100/9,163,146
  6. Step 6: Final answer
    x = 42,536,254.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.